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Finding the Fourth Proportional to 262,812.42, 394,276.95 and 122,494.50

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Solution

The fourth proportional to 262,812.42, 394,276.95 and 122,494.50 is: 183,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,812.42 : 394,276.95 = 122,494.50 : x
  2. Step 2: Convert to fraction form
    262,812.42/394,276.95 = 122,494.50/x
  3. Step 3: Cross multiply
    262,812.42x = 394,276.95 × 122,494.50
  4. Step 4: Simplify right side
    262,812.42x = 48,296,757,851.78
  5. Step 5: Solve for x
    x = 48,296,757,851.78/262,812.42
  6. Step 6: Final answer
    x = 183,768.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.